Chapter 9.8, Problem 47SR

To determine

To evaluate: the value of $a{\left(1+r\right)}^t$ to the nearest hundredth for given values.

Answer to Problem 47SR

The 5^th, 6^th, 7^th terms are 486, 1458, 4374.

Explanation of Solution

Given:

  $2,6,18,54,\mathrm{......}$

Evaluating,

5^th term,

  $\begin{array}{c}a{r}^5=2{\left(3\right)}^5\\ =486\end{array}$

6^th term,

  $\begin{array}{c}a{r}^6=2{\left(3\right)}^6\\ =1458\end{array}$

7^th term,

  $\begin{array}{c}a{r}^7=2{\left(3\right)}^7\\ =4374\end{array}$

So,

The 5^th, 6^th, 7^th terms are 486, 1458, 4374.